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Finding the Fourth Proportional to 15,872.20, 23,809.38 and 8,078.92

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Solution

The fourth proportional to 15,872.20, 23,809.38 and 8,078.92 is: 12,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.20 : 23,809.38 = 8,078.92 : x
  2. Step 2: Convert to fraction form
    15,872.20/23,809.38 = 8,078.92/x
  3. Step 3: Cross multiply
    15,872.20x = 23,809.38 × 8,078.92
  4. Step 4: Simplify right side
    15,872.20x = 192,354,076.27
  5. Step 5: Solve for x
    x = 192,354,076.27/15,872.20
  6. Step 6: Final answer
    x = 12,118.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.